Given numbers are 546,377,715,293

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 546,377,715,293 is 255164910.

Find LCM of 546,377,715,293 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

13 x 42 x 29 x 55 x 293 = 255164910

Therefore, the lowest common multiple of 546,377,715,293 is 255164910.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

546 x 377 x 715 x 293 = 43122869790

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

377 : 1, 13, 29, 377

715 : 1, 5, 11, 13, 55, 65, 143, 715

293 : 1, 293

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,377,715,293, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

377:13x 29

715:5x 11x 13

293:293

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13x 13 = 169

Therefore, the value for common factors is 169.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 43122869790/(1x169)

LCM = 43122869790/169

LCM = 255164910

Thus, we can understand that the LCM of 546,377,715,293 is 255164910.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 318, 475, 620, 194
• LCM of 274, 816, 671, 631
• LCM of 820, 329, 822, 251
• LCM of 324, 460, 788, 228
• LCM of 426, 317, 793, 967

1. What is the LCM of 546, 377, 715, 293?

Answer: LCM of 546, 377, 715, 293 is 255164910.

2. How to calculate the LCM of 546, 377, 715, 293?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 546, 377, 715, 293.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.